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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 398, page id 845634801:0404
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V AR EORYM DE REPYS NIAZHE N AZFCTS
Acrero cum magnitudines sune continue proporeionales in infinieum.
398
abibic Z in mhisem. LCerdnelcere allerene Mechanici, cum minima quan-
cicas Cublicrantum incellectu.
Jeaque erit secunau eos. VE differentia terminorum rationis au u Fationis majorem, ila
Paraboles Archimedaa.
Sedrix adsentientur Platonici, cum ipsa omnis C cometria sit inte Hectu
DClacitarit paraboleM LLICHLIMCLES MIICtIPTIOnC continuA crianguIOTUNE
Lexistentium er Noyco pyrco, Ouoniam enim eriangulo maximo par abo
Ix inSCripEO, SuPerin SCFIPSIE ErIAN SULA I CONFINUIa FatIONC ad MAXIIUM I
lud Constanter subquadrupla in infinicum: Ideo conclusic parabolen ette
maximi illius criansuli selquiterciam. AC ita circulum quadrare nelciri
Anciphon, quoniam circulo inscripea continue criangula existunE et no7.
depyrco, ec vago. An igicur circulus non porerie quadrari: Si enim hgul
composica ex triangulis in rarione subquadrupla ad datum maximum 
angulum constiruris in infinicum, sic ad idem sesquicertia, infinitorum al
qua Scientia est. EE Rgura quoque plana porerit componi ex criansul
circulo in intinicum continue inlcriptis er Norco, liCCE depyrCo,  Ya5O.
compolica illa ad maximum criansulum inseriprum aliquam habebie la
tionem. Valebune aurem Fuclidaei adserentes angulum majorem acille
e minorem obtusonon eNc rectum. Circa haec, ut liceac liberius Philole
phari de incerta illa ee inconstanti poly goni cujulris ordinate in scxipet d
polysonum infinicorum lacerum, seu, si placet, circulum, ita propOn
ROPOSTFTO 
Si eidem circulo inscribantur duo ordinata polysona, numetus aicl
lacerum vel angulorum primi, sic sub duplus ad numerum lacerum rel a
sulorum secundi: exir polygonum primum ad secundum, LicuF aptO
lateris primi ad diaCtFUI.
Apotomen lateris voco Cubrenlam
peripheriae, quam relinquie elemicircu
loca eoi larus subrenditur.
In circulo igitur Cujus A CenErM,
diameter BC, inscribatur polysonun
quodcunque ordinarum, cujustacuSHC
BD. Secta vero circumferentia BD bi
Fariam in E, Subrendarur BF. ItaguE
inscribatur aliud polrgonum ordina
tum cujus latuS SIE BE. NuerUS 1B
cur lacerum vel angulorum polrson
primi, eric subduplus ad numerum late
rum vel angulorum secundi. Conne
ctatur aurem DC. Dico polrsonui
primum cujus lacus BD ad polYS
maxima ad compositam ex omnibus. Cum aliogum esset, Ve differentia terminorum rationis ad termi
num rationis minorem. Ia minima ad crementum. Et uc dispetentia terminorum rationis ad terntu
num rationis majorem, ita maxima ad composicam ex omnibus plus cremento.
Sint marnicudines proportionales in continua ratione subquadrupla cis cm spor; e sit maxima omniun
5. Composita ex omnibus fiet 4. Neque enim magnitudinibus illis in continua ratione subquadrupla 
scentibus quarum maxima est 3. rancula potest addi, quin composita sit major 4. Foque perrinet quadrc
A P Y F XVTTI.
Dolyconorum circulo orabia seipeorum ad circulum ratio.
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